/[escript]/trunk/doc/examples/cookbook/example10b.py
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Contents of /trunk/doc/examples/cookbook/example10b.py

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Revision 3389 - (show annotations)
Wed Dec 1 23:03:35 2010 UTC (8 years, 8 months ago) by ahallam
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Some changes to the cookbook examples. Starting Inversion experimentation.
1
2 ########################################################
3 #
4 # Copyright (c) 2009 by University of Queensland
5 # Earth Systems Science Computational Center (ESSCC)
6 # http://www.uq.edu.au/esscc
7 #
8 # Primary Business: Queensland, Australia
9 # Licensed under the Open Software License version 3.0
10 # http://www.opensource.org/licenses/osl-3.0.php
11 #
12 ########################################################
13
14 __copyright__="""Copyright (c) 2009 by University of Queensland
15 Earth Systems Science Computational Center (ESSCC)
16 http://www.uq.edu.au/esscc
17 Primary Business: Queensland, Australia"""
18 __license__="""Licensed under the Open Software License version 3.0
19 http://www.opensource.org/licenses/osl-3.0.php"""
20 __url__="https://launchpad.net/escript-finley"
21
22 """
23 Author: Antony Hallam antony.hallam@uqconnect.edu.au
24 """
25
26 ############################################################FILE HEADER
27 # example10a.py
28 # Model of gravitational Potential for a Gravity Well.
29
30 #######################################################EXTERNAL MODULES
31 # To solve the problem it is necessary to import the modules we require.
32 from esys.escript import * # This imports everything from the escript library
33 from esys.escript.unitsSI import *
34 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
35 from esys.finley import Brick # This imports the rectangle domain function from finley
36 from esys.weipa import saveVTK # This imports the VTK file saver from weipa
37 import os, sys #This package is necessary to handle saving our data.
38
39 from esys.escript.pdetools import Projector, Locator
40 import numpy as np
41
42 ########################################################MPI WORLD CHECK
43 if getMPISizeWorld() > 1:
44 import sys
45 print "This example will not run in an MPI world."
46 sys.exit(0)
47
48 #################################################ESTABLISHING VARIABLES
49 #Domain related.
50 mx = 500*m #meters - model length
51 my = 500*m #meters - model width
52 mz = -4000*m
53 ndx = 150 # mesh steps in x direction
54 ndy = 150 # mesh steps in y direction - one dimension means one element
55 ndz = 100
56 #PDE related
57 rho=100.0
58 rholoc=[0,0,-0]
59 G=6.67300*10E-11
60
61 ################################################ESTABLISHING PARAMETERS
62 #the folder to put our outputs in, leave blank "" for script path
63 save_path= os.path.join("data","example10")
64 #ensure the dir exists
65 mkDir(save_path)
66
67 ####################################################DOMAIN CONSTRUCTION
68 domain = Brick(l0=mx,l1=my,n0=ndx, n1=ndy,l2=mz,n2=ndz)
69 x=Solution(domain).getX()
70 x=x-[mx/2,my/2,mz/2]
71 domain.setX(x)
72 mask=wherePositive(100-length(x-rholoc))
73 rho=rho*mask
74 kro=kronecker(domain)
75
76 mass=rho*vol(domain)
77 ipot=FunctionOnBoundary(domain)
78 xb=ipot.getX()
79
80 q=whereZero(x[2]-inf(x[2]))
81 ###############################################ESCRIPT PDE CONSTRUCTION
82
83 mypde=LinearPDE(domain)
84 mypde.setValue(A=kro,Y=4.*3.1415*G*rho,q=q,r=0)
85 mypde.setSymmetryOn()
86 sol=mypde.getSolution()
87 saveVTK(os.path.join(save_path,"ex10b.vtu"),\
88 grav_pot=sol,\
89 g_field=-grad(sol),\
90 g_fieldz=-grad(sol)*[0,0,1],\
91 gz=length(-grad(sol)*[0,0,1]))
92
93 ################################################MODEL SIZE SAMPLING
94 sampler=[]
95 for i in range(-250,250,1):
96 sampler.append([i,0,250])
97
98 sample=[] # array to hold values
99 rec=Locator(domain,sampler) #location to record
100 psol=rec.getValue(sol)
101 np.savetxt(os.path.join(save_path,"example10b_%04d.asc"%mx),psol)
102

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